This brief investigates the $H_{infty }$ fault estimation problem for a class of Lipschitz nonlinear systems with time-variant coefficient matrices in discrete-time settings. By introducing an auxiliary unknown input based on the nonlinear term, a quasi-linear model and its corresponding indefinite quadratic performance function for fault estimation are respectively given in lieu of the original nonlinear dynamics and the $H_{infty }$ performance metric, such that the estimation problem is converted as an indefinite optimization problem. By artificially constructing a Krein-space based dynamic model, the classical linear estimation technique in $H_{2}$ sense is employed to seek a suitable choice of the estimation of the fault. A condition that ensures the existence of the estimator is derived analytically. A Kalman-filter-like estimator recursion is proposed simultaneously.

Fault Estimation for Discrete-Time Systems with Lipschitz Perturbation and Time-Variant Coefficients

Karimi H. R.;
2020-01-01

Abstract

This brief investigates the $H_{infty }$ fault estimation problem for a class of Lipschitz nonlinear systems with time-variant coefficient matrices in discrete-time settings. By introducing an auxiliary unknown input based on the nonlinear term, a quasi-linear model and its corresponding indefinite quadratic performance function for fault estimation are respectively given in lieu of the original nonlinear dynamics and the $H_{infty }$ performance metric, such that the estimation problem is converted as an indefinite optimization problem. By artificially constructing a Krein-space based dynamic model, the classical linear estimation technique in $H_{2}$ sense is employed to seek a suitable choice of the estimation of the fault. A condition that ensures the existence of the estimator is derived analytically. A Kalman-filter-like estimator recursion is proposed simultaneously.
2020
Fault estimation
Krein space
Lipschitz
nonlinearity
time-variant system
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1167205
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